Scalar-tensor propagation of light in the inner solar system at the millimetric level

Abstract

In a recent paper [1], motivated by forthcoming space experiments involving propagation of light in the Solar System, we have proposed an extention of the IAU metric equations at the c-4 level in General Relativity. However, scalar-tensor theories may induce corrections numerically comparable to the c-4 general relativistic terms. Accordingly, one first proposes in this paper an extension of [1] to the scalar-tensor case. The case of a hierarchized system (such as the Solar system) is emphasized. In this case, the relevant metric solution is proposed. Then, the geodesic solution relevant for propagation of light in the inner solar system at the millimetric level is given in explicit form.

18 pages, This article can be regarded as an extension of "eprint arXiv:1003.1889"

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• Post-linear metric of a compact source of matter
• 2PN/RM gauge invariance in Brans-Dicke-like scalar-tensor theories
• Astronomical relativistic reference systems with multipolar expansion: the global one
• Numerical evaluation of the exact post-Newtonian parameters in Brans-Dicke and entangled relativity theories